4.15 During the 2013 regular NBA season, DeAndre Jordan of the Los Angeles Clippers had the highest field goalcompletion rate in the league. DeAndre scored with 61.3% of his shots. Suppose you choose a random sample of 80shots made by DeAndre during the 2013 season. Let X = the number of shots that scored points.a. What is the probability distribution for X?b. Using the formulas, calculate the (i) mean and (ii) standard deviation of X.c. Use your calculator to find the probability that DeAndre scored with 60 of these shots.d. Find the probability that DeAndre scored with more than 50 of these shots. 4.15 During the 2013 regular NBA season, DeAndre Jordan of the Los Angeles Clippers had the highest field goalcompletion rate in the league. DeAndre scored with 61.3% of his shots. Suppose you choose a random sample of 80shots made by DeAndre during the 2013 season. Let X = the number of shots that scored points.a. What is the probability distribution for X?b. Using the formulas, calculate the (i) mean and (ii) standard deviation of X.c. Use your calculator to find the probability that DeAndre scored with 60 of these shots.d. Find the probability that DeAndre scored with more than 50 of these shots.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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4.15 During the 2013 regular NBA season, DeAndre Jordan of the Los Angeles Clippers had the highest field goal
completion rate in the league. DeAndre scored with 61.3% of his shots. Suppose you choose a random sample of 80
shots made by DeAndre during the 2013 season. Let X = the number of shots that scored points.
a. What is the probability distribution for X?
b. Using the formulas, calculate the (i) mean and (ii) standard deviation of X.
c. Use your calculator to find the probability that DeAndre scored with 60 of these shots.
d. Find the probability that DeAndre scored with more than 50 of these shots.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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